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Doing some Laplace transform stuffs and I've got [tex]Y(s) = \frac{1}{(s+1)(s^{2}+2s+2)}[/tex]

Using the normal method

[tex]1 = A((s+1)^{2}+1) + B(s+1)[/tex]

I'm not sure this method is valid though as we had a complicated term (s+1)² + 1 after A. I can find A to be 1, but I don't trust my value of B being -1.

Apparently the answer is [tex]\frac{1}{s+1} - \frac{s+1}{(s+1)^{2}+1}[/tex]

Not sure how to get there though

Thanks

Thomas

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# Homework Help: Partial fraction (tricky stuff for LaPlace transforms)

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